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Finding the Fourth Proportional to 130,110.71, 195,033.13 and 73,832

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Solution

The fourth proportional to 130,110.71, 195,033.13 and 73,832 is: 110,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,110.71 : 195,033.13 = 73,832 : x
  2. Step 2: Convert to fraction form
    130,110.71/195,033.13 = 73,832/x
  3. Step 3: Cross multiply
    130,110.71x = 195,033.13 × 73,832
  4. Step 4: Simplify right side
    130,110.71x = 14,399,686,054.16
  5. Step 5: Solve for x
    x = 14,399,686,054.16/130,110.71
  6. Step 6: Final answer
    x = 110,672.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.